Answer:
9.54 feet
Step-by-step explanation:
Using Pythagoras rule :
Length of ramp = 10 feets = hypotenus
Hypotenus² = opposite² - adjacent²
d² = 10² - 3²
d² = 100 - 9
d² = 91
d = √91
d = 9.5393920
d = 9.54 feets
11. Explain how to evaluate the expression 9 +(45 x 2) = 10.
The Answer Is 18
Order Of Operation laws says that you must do the parentheses first, 45x2.
45x2=90
The next thing you must do is divide 90 by 10 since division is before addition.
90/10=9
Now combine like terms.
9+9=18
Solve the equation x^2 - 16x+ 54 = 0 by completing the square.
Fill in the values of a and b to complete the solutions.
Answer:
[tex]x = 8\±\sqrt{10[/tex]
[tex]a =8[/tex] [tex]b = 10[/tex]
Step-by-step explanation:
Given
[tex]x^2 - 16x + 54 = 0[/tex]
Required
Complete the square
[tex]x^2 - 16x + 54 = 0[/tex]
Subtract 54 from both sides
[tex]x^2 - 16x + 54 -54= 0-54[/tex]
[tex]x^2 - 16x = -54[/tex]
--------------------------------------------------
Take half of - 16
[tex](-16/2) = -8[/tex]
Square the result
[tex](-8)^2 = 64[/tex]
Add the squared result to both sides of the equation
--------------------------------------------------
So, we have:
[tex]x^2 - 16x +64= -54+64[/tex]
[tex]x^2 - 16x +64= 10[/tex]
Expand
[tex]x^2 - 8x - 8x + 64 = 10[/tex]
Factorize
[tex]x(x - 8) - 8(x - 8) = 10[/tex]
Factor out x - 8
[tex](x - 8)(x - 8) = 10[/tex]
[tex](x - 8)^2 = 10[/tex]
Take square roots
[tex]x - 8 = \±\sqrt{10[/tex]
Solve for x
[tex]x = 8\±\sqrt{10[/tex]
We have:
[tex]x = a - \sqrt{b}[/tex]
[tex]x = a + \sqrt{b}[/tex]
By comparing the above with: [tex]x = 8\±\sqrt{10[/tex]
Answer:
Step-by-step explanation:
Two circles are concentric. Two arcs are formed by the same central angle, with arc lengths of 54 and 81 respectively. Which of the following are possible radii for the circles? Select the two correct answers.
23 and 32
12 and 18
32 and 64
40 and 60
14 and 41
Answer:
i think the answer is 12 and 18
sum of two numbers is 5 while the difference of the two numbers is 6 find the two numbers
Answer:
Suppose the one number be x
And the other number be 6x
The sum of two numbers is 5
x+6x=5
7x=5
X=5/7
Therefore
One number be 5/7
And other number be 6 * 5/7=30/7
If you are helped with my answer pls tag me brianliest I really want it
THANK YOU...............
can someone help me pls
Answer:
[tex]x = 55°[/tex]
Step-by-step explanation:
L1 and L2 are parallel, so that the 2 interior angles are equal to 180°.
[tex](2x + 10) + (x + 5) = 180° \\ 2x + x + 10 + 5 = 180° \\ 3x = 165° \\ x = 55°[/tex]
What is (5b + 3x)(5d-3b)
If rectangle ABCD is dilated by a scale factor of 3 with a center of dilation at vertex D. what is the perimeter of
A'B'CD?
A)
30 units
B)
60 units
90 units
D)
120 units
I need help!!! Please
Answer:
A
Step-by-step explanation:
A popular internet subscription service for movies, TV series, and documentaries conducts a survey in which it randomly samples 1,000 of its customers. The survey asks the customers which way they use their streaming service the most: (1) watching movies, (2) watching TV series, or (3) watching documentaries. They also ask the level of satisfaction with the service they most often use (on a scale of 0 to 10 with 0 very poor and 10 excellent). Is there statistical evidence for this internet subscription service that the mean satisfaction differs between customers who watch movies, TV series, or documentaries the most?
(a) State the hypothesis for conducting ANOVA. What were the assumptions on which the ANOVA was based?
(b) What F test statistic is needed to reject the null hypothesis at the signficance level 0.05?
(c) Suppose the test statistic is observed at F 0.46 and the p-value equals 0.63. State your conclusion in the context of this problem using the significance level .01.
The ratio of dogs to cats is 7:2. Why is the ratio of dogs to 8 cats?
Answer:
28
[tex]\frac{7}{2} \\\\\frac{x}{8}[/tex]
[tex]2 * x = 8\\x = 4[/tex]
[tex]7 * 4 = x\\x = 28[/tex]
PLZZ GIVE BRAINLIEST
50 POINTS. A ball is thrown into the air from a height of 4 feet at time t = 0. The function that models this situation is h(t)= -16t^2 + 64t + 4, where t is measured in seconds and h is the height in feet. What domain makes sense for this function
Answer:
The domain that makes sense for this function is all values greater than or equal to 0.
Step-by-step explanation:
A ball is thrown into the air from a height of 4 feet at time t = 0. It is modeled by the function:
[tex]h(t)=-16t^2+64t+4[/tex]
The domain of the function is time t. The range of the function is the ball's height in the air h.
Since time is our domain, we must restrict our domain to values equal to or greater than 0 since time cannot be negative.
Therefore, the domain that makes sense for this function is all values greater than or equal to 0.
In interval notation, this is:
[tex][0, \infty)[/tex]
And as an inequality:
[tex]t\geq 0[/tex]
Help pls show work if needed
Answer: The mode is 12
Step-by-step explanation: It is the most common number in the data set.
Please help me please
Answer:
Option D
Step-by-step explanation:
→ Simplify the option
3 × 3 × 2 × 2 = 36
→ Simplify the other part
3 × 2 × 2 = 12
Determine the radius of a cone that has a volume of 230 ft' and a height of 15 ft.
Round the answer to the nearest tenth.
Answer:
the formula for finding cone volume is V=πr²× 1/3
Step-by-step explanation:
230=3.14×x²×1/3
we have to solve for X that is our radius
14.8
A bookshelf costs $300 normally. Today it is on sale and decreased by 20% However there is
also a 4% sales tax. What is the new cost of the bookshelf?
Answer:
249.60
Step-by-step explanation:
300 x .8 (100%-20%)=240
240 x .04 (4% sales tax)=9.60
price = 240+9.60=249.60
You come across a box of perfume what should you do Amazon
Leia, Chewy, Han Solo, and Luke have to cross a bridge. They only have one flashlight, and the bridge can only hold two people at a time. They each take a different length of time to get across the bridge. At any time, a group of two can only move as fast as the group's slowest person. The times that it takes each person to cross the bridge are:
Chewy -- ten minutes
Han Solo -- five minutes
Leia -- two minutes
Luke -- two minutes
How can the four get across the bridge the fastest?
Answer:
luke and han solo
Step-by-step explanation:
because han solo have the most mins and luke is one of thr 2 mins and that added is 7min
please what is the interquartile range ?
Answer:
3.
Step-by-step explanation:
15 - 12 = 3.
The ends of the box are the lower and upper quartiles.
The difference upper - lower = the interquartile range.
Which of the following is TRUE?
A. 8<-7
B -1 > 1
C. 6> 3
D. 4 <-2
9514 1404 393
Answer:
C. 6 > 3
Step-by-step explanation:
It is true that 6 is greater than 3.
__
All negative numbers are less than any positive numbers.
We hope you are sufficiently familiar with numbers and counting to be able to tell which positive numbers are more or less than any other positive number.
What is the circumference of circle P in terms of pi (3.14)
A. 4cm
B. 8 cm
C. 16 cm
D. 64 cm
What is the volume of the cylinder below?
Use 3.14 for pi.
Answer:
using 3.14 for pi the volume is 502.4
Step-by-step explanation:
Hello :D help pls? Thanks
What is the area of this partial circle if the radius is 8 inches long? Leave your answer in terms of pi.
Answer:201.06
Step-by-step explanation:
HELP ME IN MATH PLEASE IM FAILING :( NO FAKE ANSWERS PLS :)
The area of a parallelogram has the following formula: A=bh
Plug-in the given numbers.
Base=14cm
Height=13cm
A=bh
A=14 x 13
A=182
Therefore, the area of the figure is 182cm2
Answer: 182 square centimeters
Step-by-step explanation:
The formula for finding the area of a parrallelogram is A = bh. If the top measurement is 14 cm, then the bottom measurement is also 14 cm. The height is 13 cm.
A = (14) (13)
A = 182 cm^2
The number of direct-report employees to the department directors of a company are as follows: 23, 28, 41, 29, 33, 38, 42, and 18.
Which type of graph would be best to use to show the differences among the numbers of direct-report employees?
a bar graph
a circle graph
a histogram
a line graph
Answer:
Question?
Step-by-step explanation:
?
Given that f(x)=x^3, which equation describes the graph of function g?
a. g(x)=f(x-3)+3
b. g(x)=f(x-3)-3
c. g(x)=f(x+3)+3
d. g(x)=f(x+3)-3
Answer:
A or g(x) = f(x − 3) + 3
Step-by-step explanation:
URGENT!! PLS HELP 16 students are competing an art contest in how many different ways can students finish first second and third
What is the measure of angle AXG
Answer:
180°
Step-by-step explanation:
it's half of a circle
The angle AXG is a straight line. The measure of a straight line would be 180
The measure is 180
how many solutions does this graph have?
Answer:
one solution
Step-by-step explanation:
It will cross the x-axis one time
Need help with this problem!!
Answer:
Area:
4 x 4 = 16
Finding area of semi circle:
4 is your diameter so half of it is your radius which is 2 since half of 4 is 2!
2^2<---your radius being squared = 4
4(radius squared) x 3.14(pi) = 12.56
12.56 divided by 2 since its a semi circle is = 6.28
6.28 + 16 = 22.28 is your area
Perimeter is:
4 + 4 + 4 (all sides of a square are equal therefore one or two given lengths will be all the sides) = 12
Circumference:
Radius is 2,
2(you just always have to multiply this number when finding circumference) x 3.14(pi) x 2(radius), 2 x 3.14 x 2 = 12.56
12.56 divided by 2 = 6.28
6.28 + 12 = 18.28 is your perimeter.
Just a refresh:
Circumference Formula:
2(always use this number when finding circumference) x pi(3.14 or 22/7 depending on what they tell you to use for pi) x radius
Area of a Circle Formula:
Radius squared x pi(3.14 or 22/7 whatever they tell you to use for pi)
Another thing you should remember:
Whenever it gives you 1/4 of a circle or 1/3 or a semi circle or any fraction, REMEMBER TO DIVIDE BY THAT DENOMINATOR TO WHAT YOU GET FROM EITHER CIRCUMFERENCE OR AREA OF A CIRCLE!
A student wants to report on the number of movies her friends watch each week. The collected data are below: 2 14 1 2 0 1 0 2 Which measure of center is most appropriate for this situation and what is its value? (4 points) a Median, 1.5 b Median; 3 c Mean, 1.5 d Mean; 3
Answer:
The best measure of center for a set of data is the median value.
To find the median list the values from
Smallest to largest:
0, 0, 1, 1, 2,2, 2, 14
Since there is an even number of values, find the middle two numbers, add them together and divide by 2:
1+2 = 3
3/2 = 1.5
The answer is median 1.5
Step-by-step explanation:
plz brain list